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## Homework Statement

Two forces F1 and F2 are acting on a mass M=4kg. The force F1 = 7i + 6j + 8k, in N. The acceleration of the mass is given by a = 1i + 3j + 2k, in m/s2. Calculate the magnitude of F2 .

## Homework Equations

F=ma

## The Attempt at a Solution

F1+F2=ma

m=4kg

F1=sqrt(7^2+6^2+8^2) = 12.2066N

a=sqrt(1^2+3^2+2^2) = 3.71466m/s

plug it all in and I get F2=2.7601N

I have no idea what I'm doing wrong, so if some one would point me in the right direction, that would be great.